Question

What is the value of y?



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y =

Answer 1

the answer to this question is y=28

Answer 2

`\boxed{\boxed{y^(\circ)=26^(\circ)\ 45'}}`

Solution-

As the triangle ABC is an isosceles triangle, with AC = BC.

So the angles A and B will be same, i.e

`\Rightarrow \angle A=\angle B`

`\Rightarrow 34^(\circ)=(x-5)^(\circ)`

`\Rightarrow x^(\circ)=34^(\circ)+5^(\circ)`

`\Rightarrow x^(\circ)=39^(\circ)`

As sum of all angles in a triangle is 180°, so

`\Rightarrow \angle A+\angle B+\angle C=180^(\circ)`

`\Rightarrow 34^(\circ)+39^(\circ)+4y^(\circ)=180^(\circ)`

`\Rightarrow 4y^(\circ)=180^(\circ)-34^(\circ)-39^(\circ)`

`\Rightarrow 4y^(\circ)=107^(\circ)`

`\Rightarrow y^(\circ)=(107^(\circ))/(4)`

`\Rightarrow y^(\circ)=26.75^(\circ)`

`\Rightarrow y^(\circ)=26^(\circ)\ 45'`